0
Research Papers: Flows in Complex Systems

New Discharge Coefficient of Throat Tap Nozzle Based on ASME Performance Test Code 6 for Reynolds Number From 2.4 × 105 to 1.4 × 107

[+] Author and Article Information
Yoshiya Terao

National Institute of Advanced
Industrial Science and Technology,
National Metrology Institute of Japan,
Tsukuba-Central 3, 1-1-1 Umezono,
Tsukuba, 305-3563, Japan

Shinichi Nakao

Flow Measurement Consulting
Laboratory Flow Col,
Youkoudai 4-27-7, Isogo-ku,
Yokohama, 235-0045, Japan

Kazuo Shibuya

Flow Engineering Co., Ltd.,
Tsuruyacho 2-13-2, Kanagawa-ku,
Yokohama, 221-0835, Japan

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received June 3, 2013; final manuscript received September 18, 2013; published online October 18, 2013. Assoc. Editor: Frank C. Visser.

J. Fluids Eng 136(1), 011105 (Oct 18, 2013) (10 pages) Paper No: FE-13-1353; doi: 10.1115/1.4025513 History: Received June 03, 2013; Revised September 18, 2013

The throat tap nozzle of the American Society of Mechanical Engineers performance test code (ASME PTC) 6 is widely used in engineering fields, and its discharge coefficient is normally estimated by an extrapolation in Reynolds number range higher than the order of 107. The purpose of this paper is to propose a new relation between the discharge coefficient of the throat tap nozzle and Reynolds number by a detailed analysis of the experimental data and the theoretical models, which can be applied to Reynolds numbers up to 1.5 × 107. The discharge coefficients are measured for several tap diameters in Reynolds numbers ranging from 2.4 × 105 to 1.4 × 107 using the high Reynolds number calibration rig of the National Metrology Institute of Japan (NMIJ). Experimental results show that the discharge coefficients depend on the tap diameter and the deviation between the experimental results and the reference curve of PTC 6 is 0.75% at maximum. New equations to estimate the discharge coefficient are developed based on the experimental results and the theoretical equations including the tap effects. The developed equations estimate the discharge coefficient of the present experimental data within 0.21%, and they are expected to estimate more accurately the discharge coefficient of the throat tap nozzle of PTC 6 than the reference curve of PTC 6.

FIGURES IN THIS ARTICLE
<>
Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.

References

ASME, 2004, “Steam Turbines, Performance Test Codes,” ASME PTC 6-2004.
Buckland, B. O., 1934, “Fluid—Meter Nozzles,” Trans. ASME, 56, pp. 827–832. Available at: http://cybra.lodz.pl/Content/6301/FSP_56_14.pdf
Simmons, F. S., 1955, “Analytic Determination of the Discharge Coefficients of Flow Nozzles,” Report No. NACA TN 3447.
Rivas, M. S., and Shapiro, A. H., 1956, “On the Theory of Discharge Coefficients for Rounded Entrance Flow Meters and Venturis,” Trans. ASME, 78, pp. 489–497.
Hall, G. W., 1959, “Application of Boundary Layer Theory to Explain Some Nozzle and Venturi Flow Peculiarities,” Proc. Inst. Mech. Eng., 173(36), pp. 837–870. [CrossRef]
Benedict, R. P., and Wyler, J. S., 1978, “Analytical and Experimental Studies of ASME Flow Nozzles,” ASME J. Fluids Eng., 100(3), pp. 265–274. [CrossRef]
Murdock, J. W., and Keyster, D. R., 1991, “Theoretical Basis for Extrapolation of Calibration Data of PTC 6 Throat Tap Nozzles,” ASME J. Eng. Gas Turbines Power, 113, pp. 228–232. [CrossRef]
Murdock, J. W., and Keyster, D. R., 1991, “A Method for the Extrapolation of Calibration Data of PTC 6 Throat Tap Nozzles,” ASME J. Eng. Gas Turbines Power, 113, pp. 233–241. [CrossRef]
Reader-Harris, M., Gibson, J., Hodges, D., Nicholson, I. G., and Rushworth, R., 2007, “The Performance of Flow Nozzles at High Reynolds Number,” Proceedings of FLOMEKO 14, Johannesburg, South Africa.
Furuichi, N., Terao, Y., and Takamoto, M., 2009, “A New Calibration Facility of Flowrate for High Reynolds Number,” Flow Meas. Instrum., 20(1), pp. 38–47. [CrossRef]
Paik, J. S., Lee, K. B., Lau, P., Engel, R., Loza, A., Terao, Y., and Reader-Harris, M., 2007, “Final Report on CCM. FF-K1 for Water,” Metrologia, 44(Tech. Suppl.), p. 07005. [CrossRef]
Wagner, W., and Kretzschmar, H. J., 2008, International Steam Tables: Properties of Water and Steam Based on the Industrial Formulation IAPWS-IF97, Springer, New York.
ASME, 1976, “Steam Turbines, Performance Test Codes,” ANSI/ASME PTC 6-1976.
Reader-Harris, M., 2009, “Flow Measurement and Energy,” Proceedings of FLOEMEKO 15, Taipei, Taiwan.
International Organization for Standardization, 2008, “Uncertainty of Measurement—Part 3: Guide to the Expression of Uncertainty in Measurement (GUM:1995),” ISO/IEC Guide 98-3:2008.
Furuichi, N., Terao, Y., and Takamoto, M., 2009, “Calibration Facilities for Water Flowrate in NMIJ,” Proceedings of the 7th ISFFM, Anchorage, AK.
Schlichting, H., and Gersten, K., 1999, Boundary Layer Theory–8th revised and enlarged edition, Springer, New York.
Shaw, R., 1960, “The Influence of Hole Dimensions on Static Pressure Measurements,” J. Fluid Mech., 7, pp. 550–564. [CrossRef]
Gibson, J., Reader-Harris, M., and Gilchrist, A., 1999, “CFD Analysis of the Static Hole Error Caused by Tapping Venturi Meters Operating in High-Pressure Gas,” Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference, Paper No. FEDSM99-7149.
Reader-Harris, M., Brunton, J. J. M., Gibson, J., Hodges, D., and Nicholson, I. G., 2001, “Discharge Coefficients of Venturi Tubes With Standard and Non-Standard Convergent Angles,” Flow Meas. Instrum., 12, pp. 135–145. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Schematic diagram of throat tap nozzle

Grahic Jump Location
Fig. 2

Flow sheet of high Reynolds number calibration rig

Grahic Jump Location
Fig. 4

Detail of pipe layout

Grahic Jump Location
Fig. 5

Schematic diagram of measurement (a) using the weighing tank and (b) using reference flowmeters

Grahic Jump Location
Fig. 6

The discharge coefficient for different measurement condition

Grahic Jump Location
Fig. 7

The discharge coefficient for different nozzle

Grahic Jump Location
Fig. 8

The discharge coefficient for different azimuthal position

Grahic Jump Location
Fig. 9

The discharge coefficient for variable tap diameter (a) and normalized difference of discharge coefficients (b)

Grahic Jump Location
Fig. 10

Measurement uncertainty of discharge coefficient

Grahic Jump Location
Fig. 11

Discharge coefficient by theoretical analysis

Grahic Jump Location
Fig. 12

Relationship between ΔC/(dTap/d) and Reynolds number

Grahic Jump Location
Fig. 13

Comparison between PTC 6 and developed new equation

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In